Online GCD Calculator is useful to find the GCD of 486, 474, 620, 946 quickly. Get the easiest ways to solve the greatest common divisor of 486, 474, 620, 946 i.e 2 in different methods as follows.
Given Input numbers are 486, 474, 620, 946
In the factoring method, we have to find the divisors of all numbers
Divisors of 486 :
The positive integer divisors of 486 that completely divides 486 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 620 :
The positive integer divisors of 620 that completely divides 620 are.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
GCD of numbers is the greatest common divisor
So, the GCD (486, 474, 620, 946) = 2.
Given numbers are 486, 474, 620, 946
The list of prime factors of all numbers are
Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 474 are 2 x 3 x 79
Prime factors of 620 are 2 x 2 x 5 x 31
Prime factors of 946 are 2 x 11 x 43
The highest common occurrence is 21
Therefore, GCD of 486, 474, 620, 946 is 2.
Given numbers are 486, 474, 620, 946
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(486, 474) = 38394
GCD(486, 474) = ( 486 x 474 ) / 38394
= 486 / 474
= 486
Step2:
LCM(6, 620) = 1860
GCD(6, 620) = ( 6 x 620 ) / 1860
= 6 / 620
= 6
Step3:
LCM(2, 946) = 946
GCD(2, 946) = ( 2 x 946 ) / 946
= 2 / 946
= 2
So, Greatest Common Divisor of 486, 474, 620, 946 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 486, 474, 620, 946
The greatest common divisor of numbers 486, 474, 620, 946 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 486, 474, 620, 946 is 2.
1. What is the GCD of 486, 474, 620, 946?
GCD of given numbers 486, 474, 620, 946 is 2
2. How to calculate the greatest common divisor of 486, 474, 620, 946?
We can find the highest common divisor of 486, 474, 620, 946 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 486, 474, 620, 946 i.e 2.
3. How can I use the GCD of 486, 474, 620, 946Calculator?
Out the numbers 486, 474, 620, 946 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.